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math.AP2007
Nodal solutions to quasilinear elliptic equations on compact Riemannian manifolds
Mohammed Benalili
We show the existence of nodal solutions to perturbed quasilinear elliptic equations with critical Sobolev exponent on compact Riemannian manifolds. A nonexistence result is also g…
math.AP2007★ 3 cited
Existence and mutiplicity of solutions to elliptic equations of fourth order on compact manifolds
Mohammed Benalili
This paper deals with a fourth order elliptic equation on compact Riemannian manifolds.We establish the existence of solutions to the equation with critical Sobolev growth which is…